Exams › GATE › Technical

We want to design a synchronous counter that counts the sequence 0-1-0-2-0-3 and then repeats. The minimum number of J-K flip-flops required to implement this counter is

1. 1
2. 2
3. 3
4. 4

Correct answer: 3

Solution

The sequence 0-1-0-2-0-3 has six steps and the three occurrences of 0 are different states (they lead to different next outputs 1,2,3), so the counter needs 6 distinct states. Six states require ceil(log2 6)=3 flip-flops, so 3 J-K flip-flops are needed (index 2).

Related GATE Technical questions

• A queue is implemented using an array such that ENQUEUE and DEQUEUE operations are performed efficiently. Which one of the following statements is CORRECT (n refers to the number of items in the queue)?
• Consider the following C program. void f(int, short); void main() { int i = 100; short s = 12; short *p = &s; ________; // call to f() } Which one of the following expressions, when placed in the blank above, will NOT result in a type checking error?
• The worst case running times of Insertion sort, Merge sort and Quick sort, respectively, are:
• Let G be a weighted connected undirected graph with distinct positive edge weights. If every edge weight is increased by the same value, then which of the following statements is/are TRUE? P: Minimum spanning tree of G does not change Q: Shortest path between any pair of vertices does not change
• Consider the following C program. #include<stdio.h> void mystery(int *ptra, int *ptrb) { int *temp; temp = ptrb; ptrb = ptra; ptra = temp; } int main() { int a=2016, b=0, c=4, d=42; mystery(&a, &b); if (a < c) mystery(&c, &a); mystery(&a, &d); printf("%d ", a); } The output of the program is _________.
• Which of the following languages is generated by the given grammar? S → aS | bS | ε

⚔️ Practice GATE Technical free + battle 1v1 →